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A Dynamical Systems Theory of Thermodynamics

2019-06-04 Mathematics
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Release : 2019-06-04
Genre : Mathematics
Kind : eBook
Book Rating : 143/5 ( reviews)

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Book Synopsis A Dynamical Systems Theory of Thermodynamics by : Wassim M. Haddad

Download or read book A Dynamical Systems Theory of Thermodynamics written by Wassim M. Haddad. This book was released on 2019-06-04. Available in PDF, EPUB and Kindle. Book excerpt: A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.

Thermodynamics

2009-01-10 Science
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Release : 2009-01-10
Genre : Science
Kind : eBook
Book Rating : 977/5 ( reviews)

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Book Synopsis Thermodynamics by : Wassim M. Haddad

Download or read book Thermodynamics written by Wassim M. Haddad. This book was released on 2009-01-10. Available in PDF, EPUB and Kindle. Book excerpt: This book places thermodynamics on a system-theoretic foundation so as to harmonize it with classical mechanics. Using the highest standards of exposition and rigor, the authors develop a novel formulation of thermodynamics that can be viewed as a moderate-sized system theory as compared to statistical thermodynamics. This middle-ground theory involves deterministic large-scale dynamical system models that bridge the gap between classical and statistical thermodynamics. The authors' theory is motivated by the fact that a discipline as cardinal as thermodynamics--entrusted with some of the most perplexing secrets of our universe--demands far more than physical mathematics as its underpinning. Even though many great physicists, such as Archimedes, Newton, and Lagrange, have humbled us with their mathematically seamless eurekas over the centuries, this book suggests that a great many physicists and engineers who have developed the theory of thermodynamics seem to have forgotten that mathematics, when used rigorously, is the irrefutable pathway to truth. This book uses system theoretic ideas to bring coherence, clarity, and precision to an extremely important and poorly understood classical area of science.

A Dynamical Systems Theory of Thermodynamics

2019-06-04 Science
Download A Dynamical Systems Theory of Thermodynamics PDF Online Free

Author :
Release : 2019-06-04
Genre : Science
Kind : eBook
Book Rating : 596/5 ( reviews)

GET EBOOK


Book Synopsis A Dynamical Systems Theory of Thermodynamics by : Wassim M. Haddad

Download or read book A Dynamical Systems Theory of Thermodynamics written by Wassim M. Haddad. This book was released on 2019-06-04. Available in PDF, EPUB and Kindle. Book excerpt: A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.

Thermodynamic Formalism and Holomorphic Dynamical Systems

2000 Mathematics
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Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 487/5 ( reviews)

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Book Synopsis Thermodynamic Formalism and Holomorphic Dynamical Systems by : Michel Zinsmeister

Download or read book Thermodynamic Formalism and Holomorphic Dynamical Systems written by Michel Zinsmeister. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of thermodynamics and statistical physics is to understand the equilibrium of a gas or the different states of matter. To understand the strange fractal sets appearing when one iterates a quadratic polynomial is one of the goals of the theory of holomorphic dynamical systems. These two theories are strongly linked: The laws of thermodynamics happen to be an extremely powerful tool for understanding the objects of holomorphic dynamical systems. A "thermodynamic formalism" has been developed, bringing together notions that are a priori unrelated. While the deep reasons of this parallelism remain unknown, the goal of this book is to describe this formalism both from the physical and mathematical point of view in order to understand how it works and how useful it can be. This translation is a slightly revised version of the original French edition. The main changes are in Chapters 5 and 6 and consist of clarification of some proofs and a new presentation of the basics in iteration of polynomials.

The Complexity of Dynamical Systems

2011-02-21 Science
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Release : 2011-02-21
Genre : Science
Kind : eBook
Book Rating : 319/5 ( reviews)

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Book Synopsis The Complexity of Dynamical Systems by : Johan Dubbeldam

Download or read book The Complexity of Dynamical Systems written by Johan Dubbeldam. This book was released on 2011-02-21. Available in PDF, EPUB and Kindle. Book excerpt: Written by recognized experts, this edited book covers recent theoretical, experimental and applied issues in the growing fi eld of Complex Systems and Nonlinear Dynamics. It is divided into two parts, with the first section application based, incorporating the theory of bifurcation analysis, numerical computations of instabilities in dynamical systems and discussing experimental developments. The second part covers the broad category of statistical mechanics and dynamical systems. Several novel exciting theoretical and mathematical insights and their consequences are conveyed to the reader.

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